Circular and Linear Regression
Fitting Circles and Lines by Least Squares
1st Edition
Published on 22. June 2010
286 pages
978-1-4398-3591-3 (ISBN)
Description
Find the right algorithm for your image processing applicationExploring the recent achievements that have occurred since the mid-1990s, Circular and Linear Regression: Fitting Circles and Lines by Least Squares explains how to use modern algorithms to fit geometric contours (circles and circular arcs) to observed data in image processing and comput
Reviews / Votes
Overall, the book provides an excellent reference for those interested in the geometric, algebraic, and numerical aspects of fitting lines, curves, and circles to data. It gives an insightful discussion of the geometric and algebraic aspects of measurement error models and provides a thorough discussion of the various algorithms for fitting such models to data, by offering advice and comparisons concerning their strengths and weaknesses under different circumstances.-Journal of the American Statistical Association, 2012
... the book contains useful insights and will be of benefit to those interested in the theoretical aspects of fitting lines and circles to data. Some mathematical background is assumed by the author, but the book is written excellently and the exposition is clearly structured. The book is unique in the way that it has brought together a variety of topics into one volume of work. I would recommend that statisticians who are interested in measurement error models, and those who are interested in fitting circles to data (such as those working in computer vision) at the very least investigate this book.
-Journal of the Royal Statistical Society: Series A, July 2011
More details
Series
Edition
1. Auflage
Language
English
Place of publication
Baton Rouge
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
Statisticians and practitioners using circle fitting; researchers in nuclear physics, computer vision, image processing, and applied (industrial) math.
Illustrations
65 s/w Abbildungen, 17 s/w Tabellen
65 b/w images and 17 tables
ISBN-13
978-1-4398-3591-3 (9781439835913)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
06/2020
1st Edition
CRC Press
€73.70
Shipment within 15-20 days
Book
06/2010
1st Edition
CRC Press
€173.48
Shipment within 15-20 days
Person
Nikolai Chernov is a professor of mathematics at the University of Alabama at Birmingham.
Content
Introduction and Historic Overview. Fitting Lines. Fitting Circles: Theory. Geometric Circle Fits. Algebraic Circle Fits. Statistical Analysis of Curve Fits. Statistical Analysis of Circle Fits. Various "Exotic" Circle Fits. Bibliography. Index.
